What is the 3338th prime number?
The 3338th prime number is 30971. The next prime is 30977 (a gap of 6) and the one before is 30949.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3338th one is 30971.
- 2
30971 is prime because no prime up to ā30971 ā 175.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3338th prime is close to 3338 Ć ln(3338) ā 27082, and here it is 30971.
- 4
30971 has no twin: neither 30969 nor 30973 is prime.
Primes around the 3338th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3335 | 30937 | 6 |
| 3336 | 30941 | 4 |
| 3337 | 30949 | 8 |
| 3338 | 30971 | 22 |
| 3339 | 30977 | 6 |
| 3340 | 30983 | 6 |
| 3341 | 31013 | 30 |
Questions
What is the 3338th prime number?
30971.
Which prime number is 30971?
30971 is the 3338th prime number.
What is the sum of the first 3338 primes?
48,511,033.